COHERENT, REGULAR AND SIMPLE SYSTEMS IN ZERO DECOMPOSITIONS OF PARTIAL DIFFERENTIAL SYSTEMS

1.IntroductionWeareconcernedwithalgebraicdifferentialpolynomials(abbreviatedas'd-pcis)inafinitenumberofdifferentialindeterminatesoveradifferentialfieldofcharacteristic0.Givenafinitesetofsuchd-pcis,wewouldliketostudyd-Zero(),thedifferentialalgebraicsetdefinedbyPoverauniversaldifferentialfield.Wemayaskwhetherd-Zero()isempty,whetherad-pcivanishesond-Zero()(differentialradicalidealmembershipproblem),whatthedimensionofd-Zero()is,howtodecomposed-Zero()intoirreduciblealgebraicdifferentialsets,andso…     

POINCARE BIFURCATIONS IN POLYNOMIAL DIFFERENTIAL SYSTEMS

1.IntroductionForagivenunperturbedplanarsystemwithafamilyofclosedorbits,considerthecreationofisolatedclosedorbits--limitcyclesbyperturbationofthesystem.ThatiscalledthePoillcar6bifurcation.Therearewell-knowntheoreticalresultsaboutPoincar6bifllrcati()11,seeforexam-Ple[1],[2].InthecasewheretheunperturbedsystemisHamiltonian,thepertllrbedsystemcanbewrittenasinwhichweassumethatp(x,y,0)=Q(x,U,(i)~0,and(1)A--ohasafamilyofclosedorbitsgivenbytheHamiltonianintegralnfH(x,y)=h,0相似文献   

STABILITY OF SWITCHED POLYNOMIAL SYSTEMS

This paper investigates the stability of （switched） polynomial systems. Using semi-tensor product of matrices, the paper develops two tools for testing the stability of a （switched） polynomial system. One is to convert a product of multi-variable polynomials into a canonical form, and the other is an easily verifiable sufficient condition to justify whether a multi-variable polynomial is positive definite. Using these two tools, the authors construct a polynomial function as a candidate Lyapunov function and via testing its derivative the authors provide some sufficient conditions for the global stability of polynomial systems.     

ON A LINEAR EQUATIONS METHOD OF NONLINEAR POLYNOMIAL EQUATIONS-SOLVING

A method for solving nonlinear polynomial equations is given which avoids theappearance of redundant factors as in the previous characteristic set method developed bythe present author. The new method seems thus to be of much higher efficiency than theprevious one. It has the further advantage that numerical data may be inserted at willeither at the outset or during the procedure so far removal of factors by divisions may beavoided.     

WU-RITT''''S METHOD FOR NONLINEAR CONTROL SYSTEMS

ＷＵ－ＲＩＴＴ＇ＳＭＥＴＨＯＤＦＯＲＮＯＮＬＩＮＥＡＲＣＯＮＴＲＯＬＳＹＳＴＥＭＳ￥ＬＩＳｈｕｒｏｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎｇ１０００８０，Ｃｈｉｎａ）Ａｂｓｔｒａｃｔ：Ｔｈｉ...     

ROBUSTNESS OF HYBRID NEUTRAL DIFFERENTIAL SYSTEMS PERTURBED BY NOISE

This paper considers a given neutral functional system under regime switching whose solution grows at most polynomially. Can the system tolerate Brownian noise and colour noise to preserve the polynomial growth if the system is subject to another environment noise？ The answer is positive. This paper shows that environmental noise and regime switching work together to make the original neutral differential system whose solution grows at most polynomially become a new neutral functional differential system whose solution will still preserve polynomial growth. This indicates that this neutral functional differential system can tolerate small noise without losing the property of polynomial growth, which implies robustness. This paper also proves that the criterion is suitable to neutral delay system which is as a special case of functional system. Finally, two examples are given to illustrate the main theory.     

A HYBRID POLYNOMIAL ALGORITHM FOR LINEAR PROGRAMMING

ＡＨＹＢＲＩＤＰＯＬＹＮＯＭＩＡＬＡＬＧＯＲＩＴＨＭＦＯＲＬＩＮＥＡＲＰＲＯＧＲＡＭＭＩＮＧ￥ＨＵＡＮＧＳａｉｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＩｎｆｏｒｍａｔｉｏｎａｎｄＳｙｓｔｅｍｓＭａｎａｇｅｍｅｎｔ，ＣｏｌｌｅｇｅｏｆＢｕｓｉｎｅｓｓａｎｄＭａｎ...     

AN INVESTIGATION OF THE POLYNOMIAL FORFORWARD ANALYSIS OF A FLORIDA PLATFORM

1.IntroductionInthisreportwewillpresentsomecomputationalresultsforthekinematicsolutionofanin-parallelmechanismplatformdesignedattheUniversityofFlorida.Thefigureoftheplatformanalysedhereisasfollows.Figure1Theconnectingpointsjoinvenicestosidesofthepairoftriangles.Thisisaspecialcaseofwhatwehaveconsideredin[l].Sincebothofthefixedandmovingplatformsaretriangles,andsomejointcenterslieonthecorrespondingsidesofthem,wecanspecifysomeparametersin[1]foranalysis.Itturnsoutthatmorecomputationalresultscanbe…     

一种新的系统结构建模方法——传递扩大法

从新的角度描述了系统结构建模中的“扩大问题”,并针对这个问题的解决提出并证明了“扩大求解定理”、“扩大修正定理”和“传递扩大定理”,进一步根据这３个定理提出了解决扩大问题的简捷而有效的方法——“传递扩大法”．这种方法是一种符合人的认知规律的十分有效的结构建模方法．是“核心要素法”［１］体系中的基本方法之一．     

STOCHASTIC ADAPTIVE CONTROL FOR SYSTEMS WITH NOISE BEING AN ARMA PROCESS

Stochastic adaptive control is considered for the discrete-time multi-input and multi-output system of multi-delay with noise expressed by an ARMA process.The CARIMA model isa special case of the system in question.The optimal adaptive control law is given and it is shown thata quadratic cost function is minimized and the closed-loop system is stable.Further,when the systemis of minimum phase,the convergence rates of parameter estimates and of the cost-function are alsoderived.     

油田产液结构调整规划的一种优化方法

本文依据油田规划的特点，提出了大规模规划问题的“分层分解统一协调”方法。分析了这种方法的性质。给出了应用这种方法解决油田产液结构调整规划问题的一个实际结果。     

NONLINEAR GALERKIN METHOD FOR STEADYNONLINEAR DIFFERENTIAL EQUATIONS

1.IntroductionNonlinearGalerkinmethodsarenumericalschemesforthedissipativeevolutionpartialdifferelltialequationswherethespatialdiscretizationreliesonanonlinearmanifoldinsteadofalinearspaceasintheclassicalGalerkinmethod.Moreprecisely,oneconsidersafinitedim…     

系统分析中结构建模的核心变换法

核心变换法是作者提出的“核心要素法”体系中的基本方法之一，是结构建模中消除未知元素的一种非常有效的新方法，这种方法从初始矩阵开始，利用传递性经过一系列的“核心变换”，消除未知关系从而得到可达矩阵表示的结构模型。     

大型非线性系统的试验选优方法

本文提出了大型非线性系统的试验选优方法，其同现行的大系统优化方法相比，优化工作量小、优化范围广，在某种意义上，传统的大系统“分解聚合”方法为该方法的一个特例——全面试验选优方法．     

A FEW RESULTS ON ARNOLDI''''S METHOD AND IOM FOR LARGE NON-HERMITIAN LINEAR SYSTEMS

1.IntroductionArnoldi'smethod[1'2]anditsincomplete0rth0g0nalizati0nversion(IOM)["']areextensivelyusedforsolvinglargenon-Hermitianlinearsystems.Itiswellknownthattheformerisanorthogonalprojectionmethod,whilethelatterisanobliqueprojecti0nmethod.Wereferto[2,4]and[3]forconvergenceanalyses0fthesetwomethods,respectively.RecelltlyBrown[5],Chronopoul0sI6landSaadl2,7]andmanyothershavederivedupdatingrecursionsoftheresidualnormsandaPprokimatesolutionsobtainedbyArnoldi'smethod.TheaPproachestheyuseeith…     

A POLYNOMIAL ALGORITHM FOR FINDING A BUMP OPTIMAL EXTENSION OF AN ORDERED SET

A polynomial algorithm for finding a linear extension of an ordered set which has theminimum bumps is presented.     

A CLASS OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR NONLINEAR DIFFERENTIAL SYSTEMS

Considerthesingularlyperturbednonlinearproblemfory=(y1,…,yn)oftheformwhereεisasmallpositiveparameter,f=(f1,…,fn),g=(g1,…gn),fi(x,y')≡fi(x,y'1,…,y'n),gi(x,y')≡gi(x,y'1,…,y'n),A=(A1,…,An),B=(B1,…,Bn).ManyauthorssuchasHowes[1],O'DonnelllZ],Lin[3],Mo[4--7]andothershavediscussedthisproblemundervarioussituationsusingthemethodofdifferentialinequalities.Thispaperconcernsaclassofboundaryvalueproblemsfornonlineardifferentialsystemsusingtheiterationmethodandthetheoryofdifferentialinequaliti…     

基于可靠性指标的系统分级递阶全局优化设计

复杂的工程系统，根据其逻辑构成可以化为多级递阶形式，每级含有若干个子系统，每个子系统既受其上级子系统所控制，同时又控制着其下一级一组子系统，以造价为协调参数，可靠度为解耦参数，给出了系统全局优化设计的分解协调过程     

一类动态消费系统建模复杂性的先验分析方法

本文基于线性系统的度量复杂性理论，通过描述消费过程的一个机理模型，研究了一类消费系统的建模复杂性问题．利用系统量度复杂性理论中的Ｋｏｌｍｏｇｏｒｏｖｎ－宽度和辨识ｎ－宽度等概念，给出一类经济计量模型的建模误差及辨识误差与观测信息多少之间的关系，并证明了此类经济计量模型关于模型阶数和观测信息多少具有一定的鲁棒性．     

野战防空导弹武器系统综合机动性灰色关联度分析

本文应用灰色系统理论中关联度分析和模糊数学中隶属函数方法,对当前外军装备的九种主要低空近程野战防空导弹武器系统机动性进行分析、评判。其结果对野战防空导弹的论证、研制和使用均具有一定的参考价值。